Geological and Mathematical Analogy of Reservoir and Polymer Structures

Abstract

The problem of the article is associated with the study of the conditions development of the formation volumetric deformation as a complex function depending on the geomechanical properties of the rocks. The connection of the differential entropy and reservoir strength characteristics during the study of the rock heterogeneity has been revealed. The geological - mathematical analogy of the rocks’ volumetric deformation process and the polymer-gel screen structure destruction process are established. The aim of the study is to obtain analytical expressions to estimate the differential entropy of the geomechanical characteristics of the productive formation, as well as the expressions to study the probability of the polymer-gel screen volumetric deformation in the conditions of polymer flooding under uncertainty. Probabilistic and statistical methods of the field-geological information processing have been chosen as geological-mathematical base of the study. The regularities of the differential entropy change in the transition from a number of the "loose" rocks to the coherent rocks are established. The geological and mathematical analogy study of the productive formation volumetric deformation and the changes of the polymer-gel structure of the flow-deviation screen under the conditions of polymer flooding are proposed. The obtained approximation regularities are recommended to be used for in-depth study of structural and textural features of the sedimentary rocks, containing clay component, as well as to predict the "life time" of the polymer-gel screen in the situation of polymer flooding.